White House Chief of Staff Donald Regan asked former president Richard Nixon to give him an analysis of how the White House could be run more efficiently. The report Nixon sent, however, was ghostwritten. According to the current Newsweek magazine, Nixon farmed the assignment out to Lee Atwater, a former deputy assistant to President Reagan for political affairs, who is now a political consultant. Atwater had worked under Regan's predecessor, James Baker, who is now secretary of the treasury. Somehow, it all sounds incestuous and probably not a way to come up with new ideas . . .

David Schneiderman, who during his tenure as editor in chief of The Village Voice, has seen his newspaper win a Pulitzer Prize, the George Polk award and a number of other honors, has been appointed publisher of the weekly . . .

Singer Billy Joel married his uptown girl, model Christie Brinkley, Saturday aboard a luxury yacht/restaurant on a wedding cruise of the Hudson and East rivers . . .

The not-widely-loved Philippine president, Ferdinand Marcos, apparently has a wife who likes him. While his wife Imelda was in Moscow this month to represent her country at the funeral of Soviet leader Konstantin Chernenko, she wrote her husband a love song called "Forever." It could be that they've found a good public relations person to work on the couple's iron-fisted image . . .

First Lady Nancy Reagan was watching as her husband signed a proclamation making March 24-30 National Skin Cancer Detection Week, a proposal supported by Sen. Orrin Hatch and Rep. Richard Shelby, who were present. Mrs. Reagan, in a reference to a small cancerous growth that had been removed from her upper lip three years ago, observed that she wished she had been aware earlier in her life of the ravages of sun exposure . . .